 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...ABD AD = BD, and BD + DC>CB. Therefore AD + DC > CB ; that is, AC > CB. FIG. 49 B Why? Post. 3 Ax. 9 greater than the included angle of the second, then the third side of the first is greater than the third side of the second. [HINT. In &ABC and A'B'C', let,AB=A'B', BC=B'C', and... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...ABD AD = BD, and BD + DC>CB. Therefore AD + DC > CB ; that is, AC > CB. FIG. 49 Why? Post. 3 Ax. 9 greater than the included angle of the second, then the third side of the first is greater than the third side of the second. [HINT. In &ABC and A'B'C', \etAB=A'B', BG=B'C', and ZABC... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...taken so that ZACD>DCB, then AD>DB. PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the included angle of the first... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
....'. AP + PB>AY. Ax. 9 .'.AB>AY. Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other., but the third side of the first triangle greater than the third side of the second, then the angle opposite... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...taken so that ZACD>DCB, then AD>DB. PROPOSITION XXXII. THEOREM 133. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, PLANE GEOMETRY then the included... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...AP + PB>AY. Ax. 9 .'. AB>AY. Ax. 11 PROPOSITION XXIV. THEOREM 116. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first triangle greater than the third side of the second, then the angle opposite... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...common, PS = PL, (3) but KL < KS, (ยง 96) and .-. Z. KPL < Z. KPS. (If two triangles have two sides of the one equal respectively to two sides of the other but the third side of the first less than the third side of the second, then the angle opposite the third side... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...triangle are equal, respectively, to two sides of another, but the included angle of the first triangle is greater than the included angle of the second, then the third side of the first is greater than the third side of the second. c ci Fio. 88. Given the A ABC and A'B'C' with CA = C'A,... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...equal. Prove by the indirect method. 258. Theorem. // two triangles have two sides of one equal :r respectively to two sides of the other but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...Square -E. PROPOSITION XV. THEOREM 121. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angle...angle of the second, then the third side of the first is longer than the third side of the second. FIG. 1 FIG. 2 Given AB = DE, BC = EF aud ZB > Z E. To... | |
| |
... greater than the included angle of the second, then the third side of the first is greater than the third side of the second. 
